Find the greatest possible number for which 20% of that number is less than 100.

300

Lets solve one by one for each option ,

1. 500

20% of 500

= \(\frac{20}{100}\) × 500

= \(\frac{1}{5}\) × 500

= 100

{ it is equal to 100 not less than 100 , not satisfied }

2. 200

20% of 200

= \(\frac{20}{100}\) × 200

= \(\frac{1}{5}\) × 200

= 40

{ it is less than 100 but not the greatest number . so, not satisfied }

3. 300

20% of 300

= \(\frac{20}{100}\) × 300

= \(\frac{1}{5}\) × 300

= 60

{ it less than 100 , and it is greatest among option . So satisfied }

4. 600

20% of 500

= \(\frac{20}{100}\) × 600

= \(\frac{1}{5}\) × 600

= 120

{ it is more  than 100 , not satisfied }

Ans :- 300